Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Question
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Chapter 2.3, Problem 27WE
To determine

To simplify

  −[8+(−5)]+(−c)+3

Expert Solution & Answer
Check Mark

Answer to Problem 27WE

  −c

Explanation of Solution

Given:

  −[8+(−5)]+(−c)+3

Concept Used:

  • If an expression contains more than one operation between its terms and brackets, first solve the terms inside brackets and then apply division followed by multiplication, addition and subtraction.
  • a+(−b)=a−b
  • a−(−b)=a+b
  • a−(+b)=a−b

Calculation:

In order to simplify the expression

  −[8+(−5)]+(−c)+3

First simplify the operations inside the parenthesis, as

using the property a+(−b)=a−b , as

  −[8+(−5)]+(−c)+3=−[8−5]−c+3; using the property a+(−b)=a−b=−8−(−5)−c+3=−8+5−c+3; using the property a+(−b)=a−b=−c−8+5+3

Now, simplify further by adding/subtracting like terms, i.e. add/subtract constants, as

  −c−8+5+3=−c−3+3=−c+0=−c

Thus,

  −[8+(−5)]+(−c)+3=−c

Previous
Chapter 2.3, Problem 26WE
Next
Chapter 2.3, Problem 28WE

Chapter 2 Solutions

Algebra: Structure And Method, Book 1

Ch. 2.1 - Prob. 1OECh. 2.1 - Prob. 2OECh. 2.1 - Prob. 3OECh. 2.1 - Prob. 4OECh. 2.1 - Prob. 5OECh. 2.1 - Prob. 6OECh. 2.1 - Prob. 7OECh. 2.1 - Prob. 8OECh. 2.1 - Prob. 9OECh. 2.1 - Prob. 10OE
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Prob. 59WECh. 2.4 - Prob. 60WECh. 2.4 - Prob. 61WECh. 2.4 - Prob. 62WECh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.4 - Prob. 10PCh. 2.4 - Prob. 11PCh. 2.4 - Prob. 12PCh. 2.4 - Prob. 1MRECh. 2.4 - Prob. 2MRECh. 2.4 - Prob. 3MRECh. 2.4 - Prob. 4MRECh. 2.4 - Prob. 5MRECh. 2.4 - Prob. 6MRECh. 2.4 - Prob. 7MRECh. 2.4 - Prob. 8MRECh. 2.4 - Prob. 9MRECh. 2.4 - Prob. 10MRECh. 2.4 - Prob. 11MRECh. 2.4 - Prob. 12MRECh. 2.4 - Prob. 1STCh. 2.4 - Prob. 2STCh. 2.4 - Prob. 3STCh. 2.4 - Prob. 4STCh. 2.4 - Prob. 5STCh. 2.4 - Prob. 6STCh. 2.4 - Prob. 7STCh. 2.4 - Prob. 8STCh. 2.4 - Prob. 9STCh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.5 - Prob. 1OECh. 2.5 - Prob. 2OECh. 2.5 - Prob. 3OECh. 2.5 - Prob. 4OECh. 2.5 - Prob. 5OECh. 2.5 - Prob. 6OECh. 2.5 - Prob. 7OECh. 2.5 - Prob. 8OECh. 2.5 - Prob. 9OECh. 2.5 - Prob. 10OECh. 2.5 - Prob. 11OECh. 2.5 - Prob. 12OECh. 2.5 - Prob. 13OECh. 2.5 - Prob. 14OECh. 2.5 - Prob. 15OECh. 2.5 - Prob. 16OECh. 2.5 - Prob. 17OECh. 2.5 - Prob. 18OECh. 2.5 - Prob. 19OECh. 2.5 - Prob. 20OECh. 2.5 - Prob. 21OECh. 2.5 - Prob. 22OECh. 2.5 - Prob. 23OECh. 2.5 - Prob. 24OECh. 2.5 - Prob. 25OECh. 2.5 - Prob. 1WECh. 2.5 - Prob. 2WECh. 2.5 - Prob. 3WECh. 2.5 - Prob. 4WECh. 2.5 - Prob. 5WECh. 2.5 - Prob. 6WECh. 2.5 - Prob. 7WECh. 2.5 - Prob. 8WECh. 2.5 - Prob. 9WECh. 2.5 - Prob. 10WECh. 2.5 - Prob. 11WECh. 2.5 - Prob. 12WECh. 2.5 - Prob. 13WECh. 2.5 - Prob. 14WECh. 2.5 - Prob. 15WECh. 2.5 - Prob. 16WECh. 2.5 - Prob. 17WECh. 2.5 - Prob. 18WECh. 2.5 - Prob. 19WECh. 2.5 - Prob. 20WECh. 2.5 - Prob. 21WECh. 2.5 - Prob. 22WECh. 2.5 - Prob. 23WECh. 2.5 - Prob. 24WECh. 2.5 - Prob. 25WECh. 2.5 - Prob. 26WECh. 2.5 - Prob. 27WECh. 2.5 - Prob. 28WECh. 2.5 - Prob. 29WECh. 2.5 - Prob. 30WECh. 2.5 - Prob. 31WECh. 2.5 - Prob. 32WECh. 2.5 - Prob. 33WECh. 2.5 - Prob. 34WECh. 2.5 - Prob. 35WECh. 2.5 - Prob. 36WECh. 2.5 - Prob. 37WECh. 2.5 - Prob. 38WECh. 2.5 - Prob. 39WECh. 2.5 - Prob. 40WECh. 2.5 - Prob. 41WECh. 2.5 - Prob. 42WECh. 2.5 - Prob. 43WECh. 2.5 - Prob. 44WECh. 2.5 - Prob. 45WECh. 2.5 - Prob. 46WECh. 2.5 - Prob. 47WECh. 2.5 - Prob. 48WECh. 2.5 - Prob. 49WECh. 2.5 - Prob. 50WECh. 2.5 - Prob. 51WECh. 2.5 - Prob. 52WECh. 2.5 - Prob. 53WECh. 2.5 - Prob. 54WECh. 2.5 - Prob. 55WECh. 2.5 - Prob. 56WECh. 2.5 - Prob. 57WECh. 2.5 - Prob. 58WECh. 2.5 - Prob. 59WECh. 2.5 - Prob. 60WECh. 2.5 - Prob. 61WECh. 2.5 - Prob. 62WECh. 2.5 - Prob. 63WECh. 2.5 - Prob. 64WECh. 2.5 - Prob. 65WECh. 2.5 - Prob. 66WECh. 2.5 - Prob. 67WECh. 2.5 - Prob. 68WECh. 2.5 - Prob. 69WECh. 2.5 - Prob. 70WECh. 2.5 - Prob. 71WECh. 2.5 - Prob. 72WECh. 2.5 - Prob. 73WECh. 2.5 - Prob. 74WECh. 2.5 - Prob. 75WECh. 2.5 - Prob. 76WECh. 2.5 - Prob. 77WECh. 2.5 - Prob. 78WECh. 2.5 - Prob. 1MRECh. 2.5 - Prob. 2MRECh. 2.5 - Prob. 3MRECh. 2.5 - Prob. 4MRECh. 2.5 - Prob. 5MRECh. 2.5 - Prob. 6MRECh. 2.5 - Prob. 7MRECh. 2.5 - Prob. 8MRECh. 2.5 - Prob. 9MRECh. 2.5 - Prob. 10MRECh. 2.5 - Prob. 11MRECh. 2.5 - Prob. 12MRECh. 2.6 - Prob. 1OECh. 2.6 - Prob. 2OECh. 2.6 - Prob. 3OECh. 2.6 - Prob. 4OECh. 2.6 - Prob. 5OECh. 2.6 - Prob. 6OECh. 2.6 - Prob. 7OECh. 2.6 - Prob. 8OECh. 2.6 - Prob. 9OECh. 2.6 - Prob. 10OECh. 2.6 - Prob. 11OECh. 2.6 - Prob. 12OECh. 2.6 - Prob. 13OECh. 2.6 - Prob. 14OECh. 2.6 - Prob. 15OECh. 2.6 - Prob. 16OECh. 2.6 - Prob. 17OECh. 2.6 - Prob. 18OECh. 2.6 - Prob. 19OECh. 2.6 - Prob. 20OECh. 2.6 - Prob. 21OECh. 2.6 - Prob. 22OECh. 2.6 - Prob. 23OECh. 2.6 - Prob. 24OECh. 2.6 - Prob. 25OECh. 2.6 - Prob. 26OECh. 2.6 - Prob. 27OECh. 2.6 - Prob. 28OECh. 2.6 - Prob. 29OECh. 2.6 - Prob. 30OECh. 2.6 - Prob. 1WECh. 2.6 - Prob. 2WECh. 2.6 - Prob. 3WECh. 2.6 - Prob. 4WECh. 2.6 - Prob. 5WECh. 2.6 - Prob. 6WECh. 2.6 - Prob. 7WECh. 2.6 - Prob. 8WECh. 2.6 - Prob. 9WECh. 2.6 - Prob. 10WECh. 2.6 - Prob. 11WECh. 2.6 - Prob. 12WECh. 2.6 - Prob. 13WECh. 2.6 - Prob. 14WECh. 2.6 - Prob. 15WECh. 2.6 - Prob. 16WECh. 2.6 - Prob. 17WECh. 2.6 - Prob. 18WECh. 2.6 - 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Prob. 3STCh. 2.7 - Prob. 4STCh. 2.7 - Prob. 5STCh. 2.7 - Prob. 6STCh. 2.7 - Prob. 7STCh. 2.7 - Prob. 8STCh. 2.7 - Prob. 9STCh. 2.7 - Prob. 10STCh. 2.8 - Prob. 1OECh. 2.8 - Prob. 2OECh. 2.8 - Prob. 3OECh. 2.8 - Prob. 4OECh. 2.8 - Prob. 5OECh. 2.8 - Prob. 6OECh. 2.8 - Prob. 7OECh. 2.8 - Prob. 8OECh. 2.8 - Prob. 9OECh. 2.8 - Prob. 10OECh. 2.8 - Prob. 11OECh. 2.8 - Prob. 12OECh. 2.8 - Prob. 13OECh. 2.8 - Prob. 14OECh. 2.8 - Prob. 15OECh. 2.8 - Prob. 16OECh. 2.8 - Prob. 17OECh. 2.8 - Prob. 18OECh. 2.8 - Prob. 19OECh. 2.8 - Prob. 20OECh. 2.8 - Prob. 21OECh. 2.8 - Prob. 22OECh. 2.8 - Prob. 23OECh. 2.8 - Prob. 24OECh. 2.8 - Prob. 25OECh. 2.8 - Prob. 1WECh. 2.8 - Prob. 2WECh. 2.8 - Prob. 3WECh. 2.8 - Prob. 4WECh. 2.8 - Prob. 5WECh. 2.8 - Prob. 6WECh. 2.8 - Prob. 7WECh. 2.8 - Prob. 8WECh. 2.8 - Prob. 9WECh. 2.8 - Prob. 10WECh. 2.8 - Prob. 11WECh. 2.8 - Prob. 12WECh. 2.8 - Prob. 13WECh. 2.8 - Prob. 14WECh. 2.8 - Prob. 15WECh. 2.8 - Prob. 16WECh. 2.8 - Prob. 17WECh. 2.8 - Prob. 18WECh. 2.8 - Prob. 19WECh. 2.8 - Prob. 20WECh. 2.8 - Prob. 21WECh. 2.8 - Prob. 22WECh. 2.8 - Prob. 23WECh. 2.8 - Prob. 24WECh. 2.8 - Prob. 25WECh. 2.8 - Prob. 26WECh. 2.8 - Prob. 27WECh. 2.8 - Prob. 28WECh. 2.8 - Prob. 29WECh. 2.8 - Prob. 30WECh. 2.8 - Prob. 31WECh. 2.8 - Prob. 32WECh. 2.8 - Prob. 33WECh. 2.8 - Prob. 34WECh. 2.8 - Prob. 35WECh. 2.8 - Prob. 36WECh. 2.8 - Prob. 1MRECh. 2.8 - Prob. 2MRECh. 2.8 - Prob. 3MRECh. 2.8 - Prob. 4MRECh. 2.8 - Prob. 5MRECh. 2.8 - Prob. 6MRECh. 2.8 - Prob. 7MRECh. 2.8 - Prob. 8MRECh. 2.8 - Prob. 9MRECh. 2.8 - Prob. 10MRECh. 2.9 - Prob. 1OECh. 2.9 - Prob. 2OECh. 2.9 - Prob. 3OECh. 2.9 - Prob. 4OECh. 2.9 - Prob. 5OECh. 2.9 - Prob. 6OECh. 2.9 - Prob. 7OECh. 2.9 - Prob. 8OECh. 2.9 - Prob. 9OECh. 2.9 - Prob. 10OECh. 2.9 - Prob. 11OECh. 2.9 - Prob. 12OECh. 2.9 - Prob. 13OECh. 2.9 - Prob. 14OECh. 2.9 - Prob. 15OECh. 2.9 - Prob. 16OECh. 2.9 - Prob. 17OECh. 2.9 - Prob. 18OECh. 2.9 - Prob. 19OECh. 2.9 - Prob. 20OECh. 2.9 - Prob. 21OECh. 2.9 - Prob. 22OECh. 2.9 - Prob. 23OECh. 2.9 - Prob. 24OECh. 2.9 - Prob. 1WECh. 2.9 - Prob. 2WECh. 2.9 - Prob. 3WECh. 2.9 - Prob. 4WECh. 2.9 - Prob. 5WECh. 2.9 - Prob. 6WECh. 2.9 - Prob. 7WECh. 2.9 - Prob. 8WECh. 2.9 - Prob. 9WECh. 2.9 - Prob. 10WECh. 2.9 - Prob. 11WECh. 2.9 - Prob. 12WECh. 2.9 - Prob. 13WECh. 2.9 - Prob. 14WECh. 2.9 - Prob. 15WECh. 2.9 - Prob. 16WECh. 2.9 - Prob. 17WECh. 2.9 - Prob. 18WECh. 2.9 - Prob. 19WECh. 2.9 - Prob. 20WECh. 2.9 - Prob. 21WECh. 2.9 - Prob. 22WECh. 2.9 - Prob. 23WECh. 2.9 - Prob. 24WECh. 2.9 - Prob. 25WECh. 2.9 - Prob. 26WECh. 2.9 - Prob. 27WECh. 2.9 - Prob. 28WECh. 2.9 - Prob. 29WECh. 2.9 - Prob. 30WECh. 2.9 - Prob. 31WECh. 2.9 - Prob. 32WECh. 2.9 - Prob. 33WECh. 2.9 - Prob. 34WECh. 2.9 - Prob. 35WECh. 2.9 - Prob. 1MRECh. 2.9 - Prob. 2MRECh. 2.9 - Prob. 3MRECh. 2.9 - Prob. 4MRECh. 2.9 - Prob. 5MRECh. 2.9 - Prob. 6MRECh. 2.9 - Prob. 7MRECh. 2.9 - Prob. 8MRECh. 2.9 - Prob. 9MRECh. 2.9 - Prob. 10MRECh. 2.9 - Prob. 11MRECh. 2.9 - Prob. 12MRECh. 2.9 - Prob. 1STCh. 2.9 - Prob. 2STCh. 2.9 - Prob. 3STCh. 2.9 - Prob. 4STCh. 2.9 - Prob. 5STCh. 2.9 - Prob. 6STCh. 2.9 - Prob. 7STCh. 2.9 - Prob. 8STCh. 2.9 - Prob. 1ECh. 2.9 - Prob. 2ECh. 2.9 - Prob. 3ECh. 2.9 - Prob. 4ECh. 2.9 - Prob. 5ECh. 2.9 - Prob. 6ECh. 2.9 - Prob. 7ECh. 2.9 - Prob. 8ECh. 2 - Prob. 1CRCh. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Prob. 15CRCh. 2 - Prob. 16CRCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 13CTCh. 2 - Prob. 14CTCh. 2 - Prob. 15CTCh. 2 - Prob. 16CTCh. 2 - Prob. 17CTCh. 2 - Prob. 18CTCh. 2 - Prob. 19CTCh. 2 - Prob. 20CTCh. 2 - Prob. 21CTCh. 2 - Prob. 22CTCh. 2 - Prob. 23CTCh. 2 - Prob. 24CTCh. 2 - Prob. 25CTCh. 2 - Prob. 1CLRCh. 2 - Prob. 2CLRCh. 2 - Prob. 3CLRCh. 2 - Prob. 4CLRCh. 2 - Prob. 5CLRCh. 2 - Prob. 6CLRCh. 2 - Prob. 7CLRCh. 2 - Prob. 8CLRCh. 2 - Prob. 9CLRCh. 2 - Prob. 10CLRCh. 2 - Prob. 11CLRCh. 2 - Prob. 12CLRCh. 2 - Prob. 13CLRCh. 2 - Prob. 14CLRCh. 2 - Prob. 15CLRCh. 2 - Prob. 16CLRCh. 2 - Prob. 17CLRCh. 2 - Prob. 18CLRCh. 2 - Prob. 19CLRCh. 2 - Prob. 20CLRCh. 2 - Prob. 21CLRCh. 2 - Prob. 22CLRCh. 2 - Prob. 23CLRCh. 2 - Prob. 24CLRCh. 2 - Prob. 25CLRCh. 2 - Prob. 26CLRCh. 2 - Prob. 27CLRCh. 2 - Prob. 28CLRCh. 2 - Prob. 29CLRCh. 2 - Prob. 30CLRCh. 2 - Prob. 31CLRCh. 2 - Prob. 32CLRCh. 2 - Prob. 33CLRCh. 2 - Prob. 34CLRCh. 2 - Prob. 35CLRCh. 2 - Prob. 1MSCh. 2 - Prob. 2MSCh. 2 - Prob. 3MSCh. 2 - Prob. 4MSCh. 2 - Prob. 5MSCh. 2 - Prob. 6MSCh. 2 - Prob. 7MSCh. 2 - Prob. 8MSCh. 2 - Prob. 9MSCh. 2 - Prob. 10MSCh. 2 - Prob. 11MSCh. 2 - Prob. 12MSCh. 2 - Prob. 13MSCh. 2 - Prob. 14MSCh. 2 - Prob. 15MSCh. 2 - Prob. 16MSCh. 2 - Prob. 17MSCh. 2 - Prob. 18MSCh. 2 - Prob. 19MSCh. 2 - Prob. 20MSCh. 2 - Prob. 21MSCh. 2 - Prob. 22MSCh. 2 - Prob. 23MSCh. 2 - Prob. 24MSCh. 2 - Prob. 25MSCh. 2 - Prob. 26MSCh. 2 - Prob. 27MSCh. 2 - Prob. 28MSCh. 2 - Prob. 29MSCh. 2 - Prob. 30MSCh. 2 - Prob. 31MSCh. 2 - Prob. 32MSCh. 2 - Prob. 33MSCh. 2 - Prob. 34MS

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